科研之友
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摘要
With the help of the Lenard recursion equations, we derive a new hierarchy of soliton equations associated with a 3 x 3 matrix spectral problem and establish Dubrovin type equations in terms of the introduced trigonal curve Km-1 of arithmetic genus m - 1. Basing on the theory of algebraic curve, we construct the corresponding Baker-Akhiezer functions and meromorphic functions on Km-1. The known zeros and poles for the Baker Akhiezer function and meromorphic functions allow us to find their theta function representations, from which algebro-geometric constructions and theta function representations of the entire hierarchy of soliton equations are obtained.
- 出版日期2015
- 单位郑州大学
